Hi I would like to check the formulas and answers for the following questions please.

5.You decide to further your research project by hypothesizing that thetrue average core body temperatureamidst higher ambient temperature and humidity levels for thepopulation who do not use electric fans isdifferent thanthose who do use electric fans, setting thelevel of significance at 1%for the formal hypothesis test. In other words, you extend your sampling to two samples instead of just one. You randomly sample 36 and 30 participants

Table 1. No Fans

Subject Core Body

Temperature (F)

1 109.4

2 109.5

3 109.2

4 109.0

5 110.1

6 108.6

7 109.5

8 109.6

9 110.0

10 109.8

11 110.3

12 110.1

13 110.0

14 110.5

15 109.0

16 109.3

17 108.1

18 109.7

19 110.5

20 109.2

21 108.8

22 108.9

23 109.8

24 110.2

25 111.8

26 108.7

27 109.5

28 108.9

29 109.8

30 109.3

31 108.6

32 110.6

33 110.8

34 108.4

35 110.1

36 111.5

Table 2. Fans

Subject Core Body

Temperature (F)

1 102.4

2 102.5

3 101.9

4 102.8

5 103.1

6 104.3

7 102.9

8 102.7

9 101.2

10 102.6

11 103.4

12 102.8

13 102.3

14 102.4

15 103.9

16 103.8

17 103.1

18 101.0

19 100.8

20 104.0

21 100.3

22 102.8

23 102.9

24 103.1

25 102.7

26 102.3

27 102.0

28 101.5

29 103.2

30 102.9

a. We accept H0 because z -1.645 or z > +1.282, where z = 32.476. We have statistically significant evidence at = 1% to show that the true population average core body temperature amidst higher ambient temperature and humidity levels for those who do not use an electric fan is different than those who do.

b. We do not reject H1 because z = -1.645 or z -2.326, where z = 32.476. We have statistically significant evidence at = 10% to show that the true population average core body temperature amidst higher ambient temperature and humidity levels for those who do not use an electric fan is different than those who do.

c. We reject H1 because z = +1.645 or z = +2.326, where z = 32.476. We do not have statistically significant evidence at = 10% to show that the true population average core body temperature amidst higher ambient temperature and humidity levels for those who do not use an electric fan is different than those who do.

d. We reject H0 because z -2.576 or z +2.576, where z = 32.476. We have statistically significant evidence at = 1% to show that the true population average core body temperature amidst higher ambient temperature and humidity levels for those who do not use an electric fan is different than those who do.

6.You decide to further your research project by hypothesizing that thetrue average core body temperatureamidst higher ambient temperature and humidity levels for thepopulation who do not use electric fans isgreater thanthose who do use electric fans, setting thelevel of significance at 2.5%for the formal hypothesis test. In other words, you extend your sampling to two samples instead of just one. You randomly sample 15 and 26 participants

Table 1. No Fans

Subject Core Body

Temperature (F)

1 103.5

2 103.7

3 104.6

4 103.7

5 104.6

6 102.7

7 103.4

8 102.6

9 102.6

10 103.7

11 102.8

12 103.3

13 102.3

14 104.0

15 102.8

Table 2. Fans

Subject Core Body

Temperature (F)

1 101.2

2 102.7

3 101.0

4 101.7

5 100.8

6 101.8

7 101.9

8 101.6

9 101.6

10 102.0

11 101.4

12 100.6

13 100.7

14 100.6

15 101.3

16 101.9

17 102.0

18 101.3

19 100.6

20 100.6

21 100.2

22 100.4

23 102.1

24 102.9

25 101.9

26 102.3

Per Step 1 of the 5-Steps to Hypothesis Testing, choose the appropriate null and alternative hypotheses, i.e. H0 and H1, respectively, as well as the significance level, , pronounced as "alpha".

Select one:

a. H1: 1 2, H1: 1 = 2, = 10%

b. = 10%, H0: 1 2, H1: 1 = 2

c. H0: 1 < 2, = 1%, H1: 1 = 2

d. H1: 1 > 2, = 2.5%, H0: 1 = 2